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Finding the Fourth Proportional to 502,474.85, 753,550.30 and 165,435.26

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Solution

The fourth proportional to 502,474.85, 753,550.30 and 165,435.26 is: 248,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,474.85 : 753,550.30 = 165,435.26 : x
  2. Step 2: Convert to fraction form
    502,474.85/753,550.30 = 165,435.26/x
  3. Step 3: Cross multiply
    502,474.85x = 753,550.30 × 165,435.26
  4. Step 4: Simplify right side
    502,474.85x = 124,663,786,035.83
  5. Step 5: Solve for x
    x = 124,663,786,035.83/502,474.85
  6. Step 6: Final answer
    x = 248,099.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.